Solve sqrt{1.3*10^11}

$$\sqrt { 1.3 \times 10 ^ { 11 } }$$

Evaluate

$$100000\sqrt{13}\approx 360555.127546399$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\sqrt{1.3\times 100000000000}$$

Multiply 1.3 and 100000000000 to get 130000000000.

$$\sqrt{130000000000}$$

Factor 130000000000=100000^{2}\times 13. Rewrite the square root of the product \sqrt{100000^{2}\times 13} as the product of square roots \sqrt{100000^{2}}\sqrt{13}. Take the square root of 100000^{2}.

$$100000\sqrt{13}$$